Sample Space and Tree Diagrams

Front

What is a sample space?

Back

The sample space is the set of all possible outcomes of a probability experiment.

Front

How do you calculate the total number of combinations when rolling a die, spinning a spinner, and flipping a coin?

Back

Multiply the number of outcomes for each event: 6 (die) x 8 (spinner) x 2 (coin) = 96 combinations.

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of an event, branching out from a starting point.

Front

If you have 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes, how many outfits can you create?

Back

80 outfits (5 x 8 x 2 = 80).

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What does it mean if an event is independent?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Front

How many outcomes are there if you can choose between 2 types of breakfast and 4 types of drinks?

Back

8 outcomes (2 breakfast options x 4 drink options = 8 total combinations).

Front

What is the formula for calculating combinations?

Back

The formula for combinations is C(n, r) = n! / (r!(n-r)!), where n is the total number of items, and r is the number of items to choose.

Front

What is the sample space for flipping a coin?

Back

The sample space is {Heads, Tails}.

Front

How do you find the probability of selecting a specific item from a group?

Back

Divide the number of ways to select the item by the total number of items in the group.